The relation between the s-state Ashkin-Teller-Potts model and the percolation problem given by Kasteleyn and Fortuin is used to formulate a renormalization-group treatment of the percolation problem. The variational renormalization-group scheme given by Kadanoff is used to treat the s-state model on a square lattice and the s→1 limit is taken to get the critical exponents for the percolation problem.
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Chandan Dasgupta (1976) studied this question.